The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry, from the Edition of Dr. Robert Simson ... With ExercisesCharles Henry Law, 1854 - 120 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 6 - 10 από τα 29.
Σελίδα 20
... BC to D ; and because ACD is the exterior angle of the triangle ABC , ( I. 16. ) 1. ACD is greater than the interior ... side of every triangle is opposite to the greater angle . Let ABC be a triangle , of which the side AC is greater ...
... BC to D ; and because ACD is the exterior angle of the triangle ABC , ( I. 16. ) 1. ACD is greater than the interior ... side of every triangle is opposite to the greater angle . Let ABC be a triangle , of which the side AC is greater ...
Σελίδα 21
... side AB is equal to the side AD ; therefore likewise 3. The angle ABD is greater than the angle ACB , wherefore much ... BC ; and AB , BC , greater than ɅC ; and BC , CA , greater than AB . B Produce BA to the point D , and make ( BOOK I ...
... side AB is equal to the side AD ; therefore likewise 3. The angle ABD is greater than the angle ACB , wherefore much ... BC ; and AB , BC , greater than ɅC ; and BC , CA , greater than AB . B Produce BA to the point D , and make ( BOOK I ...
Σελίδα 22
... side DB is greater than the side BC ; but DB is equal to B △ and AC ; therefore 4. The sides BA , AC , are greater than BC . In the same manner it may be demonstrated that 5. The sides AB , BC , are greater than CA ; and BC , CA , are ...
... side DB is greater than the side BC ; but DB is equal to B △ and AC ; therefore 4. The sides BA , AC , are greater than BC . In the same manner it may be demonstrated that 5. The sides AB , BC , are greater than CA ; and BC , CA , are ...
Σελίδα 25
... angle EDF ; the base BC is also greater than the base EF . A D E G F B Of the two sides DE , DF , let DE be the side which is not greater than the other , and at the point D , in the straight line DE , make ( I. 23. ) the angle EDG equal to ...
... angle EDF ; the base BC is also greater than the base EF . A D E G F B Of the two sides DE , DF , let DE be the side which is not greater than the other , and at the point D , in the straight line DE , make ( I. 23. ) the angle EDG equal to ...
Σελίδα 26
... BC would be equal ( I. 4. ) to EF ; but it is not , therefore 1. The angle BAC is not equal to the angle EDF ... side equal to one side , viz . either the sides adjacent to the equal angles , or the sides opposite to equal angles in each ...
... BC would be equal ( I. 4. ) to EF ; but it is not , therefore 1. The angle BAC is not equal to the angle EDF ... side equal to one side , viz . either the sides adjacent to the equal angles , or the sides opposite to equal angles in each ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB is equal AC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal base BC bisected circle ABC circumference diameter double draw equal angles equal Constr equal Hyp equal straight lines equal to BC equilateral and equiangular EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line given triangle gnomon greater inscribed interior and opposite less Let ABC Let the straight likewise opposite angles parallel to CD parallelogram pentagon perpendicular point F produced Q.E.D. PROP rectangle AE rectangle contained remaining angle required to describe right angles semicircle side BC square of AC straight line AB straight line AC straight line drawn touches the circle triangle ABC twice the rectangle